Partnership Ques 38

Question

$A, B$ and $C$ started a business in partnership with investments of $ \text{₹} 12000$, ₹ 26000 and ₹ 32000 respectively. After 4 months $A$ leaves. After 6 months B leaves and $A$ joins with an amount equal to his earlier investment. After 10 months $C$ leaves and $B$ joins with his prior investment. At the end of the year they earn a profit of ₹ 53622. Find the share of $B$ in the annual profit.

(1) ₹ 17221

(2) ₹ 17212

(3) ₹ 17222

(4) ₹ 18212

(5) None of these

(SIDBI Bank Officer Exam. 09.09.2014)

Show Answer

Answer: (2)

Solution: (2)

Profit ratio of A , B and C $=(12000 \times 4+12000 \times 6):(26000 \times 6+2 \times 26000): 32000$ $\times 10$

$=120000: 208000: 320000$

$=120: 208: 320=15: 26: 40$

Sum of ratios $=15+26+40$ $=81$

$\therefore$ $B’$s share $=\frac{26}{81} \times 53622$ $= \text{₹} 17212$